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Dual exceptional collections on Lagrangian Grassmannians (2301.02941v2)
Published 7 Jan 2023 in math.AG
Abstract: We construct graded left dual exceptional collections to the exceptional collections generating the blocks of Kuznetsov and Polishchuk on Lagrangian Grassmannians. As an application, we find explicit resolutions for some natural irreducible equivariant vector bundles.